Stewart, TJ and Ittmann, HW. 1979. Two-stage optimization in a transportation problem. The Journal of the Operational Research Society, Vol. 30(10), pp 897-904

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0030-3623

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http://hdl.handle.net/10204/2455

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Copyright: 1979 Palgrave Macmillan Journals on behalf of the Operational Research Society

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dc.description.abstract

A study of the economic distribution of maize throughout South Africa is reported. Although the problem of minimizing total transportation costs in such a situation is a classical one, and its solution is well known, there was in this case a high degree of degeneracy in the system and thus the solution was not unique. Also, since a user is required to pay his own transportation costs, the various optimal solutions were not equivalent. A secondary problem thus arose, viz. that of selecting from these optimal solutions the one which would be fairest to all users. A heuristic and a goal programming method for solving this